# Solve Torque Problem Set N) For Total Kinetic Energy

• Whowhat2
In summary, Cody sits on a frictionless swivel chair with two 5lb weights on his lap, spinning with a rotation speed of 1 revolution per second. The person and chair combination can be approximated as a cylinder with a diameter of 35cm, length of 1 meter, and uniform density of 1 g/cm3. The question is what is the total kinetic energy in this rotating system. Then, Cody extends his arms to hold the weights 1 meter to his left and right, with no change in the distribution of masses. The time for 1 rotation with this distribution of masses is also asked. A sketch is requested, showing the angular vector with a magnitude in rad/sec. The final question is how much

#### Whowhat2

N) Cody sits on a frictionless swivel chair(as in the lecture hall). He rests two 5lb weights,which can be approximated as point masses, on his lap (near the axis of rotation) and pushes off to spin the assembly with a rotation speed of 1 revolution per second. Approximate the person and chair combination as a cylinder 35cm in diameter, 1 meter in length with a uniform density of 1 g/cm3. What is the total kinetic energy in this rotating system?
O) He then extends his arms to hold the 5lb weights,1 meter to his left and right as in the demo. Assume that the distribution of masses in the person and chair combination does not change by extending the arms (ie massless arms), only the position of the two 5lb point masses. What is the time for 1 rotation with this distribution of masses.
P) Make a sketch and indicate the angular vector. Indicate the magnitude in rad/sec.
Q) How much tension in the arms here leads to this centripetal acceleration of the masses. R) Show that the total kinetic energy in this rotating system is the same as in N).

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